Tame automorphisms of C3 with multidegree of the form (3,d2,d3)

Abstract

In this note we prove that the sequence (3,d2,d3), where d3>= d2>= 3, is the multidegee of some tame automorphism of C3, if and only if 3|d2 or d3 is a linaer combination of 3 and d2 with coefficients in N.

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